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1 引言和预备知识向量是非常有用的一个数学工具 .它把许多几何学问题的研究从定性深入到定量 ,能够充分体现数学教学中的数形结合思想 .向量解决共线问题相当方便直接 ,它是解决共线问题的一种新途径 ,让人耳目一新 .本文用向量代数的方法证明了喻为古希腊几何的天鹅之歌的巴
1 Introduction and preliminary knowledge vectors are very useful tools for mathematics. It provides a thorough understanding of many geometric problems from qualitative to quantitative, and can fully embody the idea of combination of number and shape in mathematics teaching. Vector solving collinear problems is quite convenient and direct. It is a new way to solve the problem of collinearity. It is refreshing. This paper uses vector algebra to prove the ancient Greek geometry of the song of the Swan.